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Gunnarsson O, Rohringer G, Schäfer T, et al. Breakdown of Traditional Many-Body Theories for Correlated Electrons. Phys Rev Lett. 2017;119(5):056402doi: 10.1103/PhysRevLett.119.056402.
Gunnarsson, O., Rohringer, G., Schäfer, T., Sangiovanni, G., & Toschi, A. (2017). Breakdown of Traditional Many-Body Theories for Correlated Electrons. Physical review letters, 119(5), 056402. https://doi.org/10.1103/PhysRevLett.119.056402
Gunnarsson, O, et al. "Breakdown of Traditional Many-Body Theories for Correlated Electrons." Physical review letters vol. 119,5 (2017): 056402. doi: https://doi.org/10.1103/PhysRevLett.119.056402
Gunnarsson O, Rohringer G, Schäfer T, Sangiovanni G, Toschi A. Breakdown of Traditional Many-Body Theories for Correlated Electrons. Phys Rev Lett. 2017 Aug 04;119(5):056402. doi: 10.1103/PhysRevLett.119.056402. Epub 2017 Aug 04. PMID: 28949722.
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Phys Rev Lett. 2017 Aug 04;119(5):056402. doi: 10.1103/PhysRevLett.119.056402. Epub 2017 Aug 04.

Breakdown of Traditional Many-Body Theories for Correlated Electrons.

Physical review letters

O Gunnarsson, G Rohringer, T Schäfer, G Sangiovanni, A Toschi

Affiliations

  1. Max-Planck-Institut für Festkörperforschung, Heisenbergstraße 1, D-70569 Stuttgart, Germany.
  2. Russian Quantum Center, Novaya street, 100, Skolkovo, Moscow region 143025, Russia.
  3. Institute of solid state physics, Technische Universität Wien, 1040 Vienna, Austria.
  4. Institute of Physics and Astrophysics, University of Würzburg, Würzburg 97074, Germany.

PMID: 28949722 DOI: 10.1103/PhysRevLett.119.056402

Abstract

Starting from the (Hubbard) model of an atom, we demonstrate that the uniqueness of the mapping from the interacting to the noninteracting Green function, G→G_{0}, is strongly violated, by providing numerous explicit examples of different G_{0} leading to the same physical G. We argue that there are indeed infinitely many such G_{0}, with numerous crossings with the physical solution. We show that this rich functional structure is directly related to the divergence of certain classes of (irreducible vertex) diagrams, with important consequences for traditional many-body physics based on diagrammatic expansions. Physically, we ascribe the onset of these highly nonperturbative manifestations to the progressive suppression of the charge susceptibility induced by the formation of local magnetic moments and/or resonating valence bond (RVB) states in strongly correlated electron systems.

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